Jun Geng

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20242026

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math.AP2024

Neumann Problems for the Stokes Equations in Convex Domains

Jun Geng, Zhongwei Shen

This paper studies the Neumann boundary value problems for the Stokes equations in a convex domain in $R^{d}$ . We obtain nontangential-maximal-function estimates in $L^{p}$ an…

math.AP2024

Resolvent Estimates for the Stokes Operator in Bounded and Exterior $C^{1}$ Domains

Jun Geng, Zhongwei Shen

We establish resolvent estimates in $L^{q}$ spaces for the Stokes operator in a bounded $C^{1}$ domain $I^c ◯$ in $R^{d}$ . As a corollary, it follows that the Stokes operator gener…

Neumann Problems for the Stokes Equations in Convex Domains

Resolvent Estimates for the Stokes Operator in Bounded and Exterior C1 Domains

Resolvent Estimates for the Stokes Operator in Bounded and Exterior $C^{1}$ Domains